Bowen measure for derived from Anosov diffeomorphims

Abstract

In this work we give general conditions under which a $C^0$ perturbation of an expansive homeomorphim with specification property has an unique Bowen measure, that is, there is an ergodic probability measure which is the unique measure maximizing the topological entropy. We apply these conditions to show that several derived from Anosov diffeomorphims have a unique Bowen measure.

17 pages, 6 figures

References in corpus (1)

• Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems

Cited by in corpus (4)

• Variational equalities of entropy in nonuniformly hyperbolic systems
• Statistical properties of the maximal entropy measure for partially hyperbolic attractors
• Intrinsic ergodicity for certain nonhyperbolic robustly transitive systems
• Non existence of attractors and dynamics around some wild homoclinic classes